- #1

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## Main Question or Discussion Point

I read from a book that the "total energy is not preserved when the potential depends explicitly on time", i.e.

Many thanks.

*U(x,t)*. Can anyone show or prove it?Many thanks.

- Thread starter brotherbobby
- Start date

- #1

- 138

- 9

I read from a book that the "total energy is not preserved when the potential depends explicitly on time", i.e. *U(x,t)*. Can anyone show or prove it?

Many thanks.

Many thanks.

- #2

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For instance, consider the potential energy of some test charge, T, placed near some charged particle, A. Of course the potential energy of T will change if you move particle A around. So, in that sense, the test charge's energy is changing. But anything you lose or gain will be covered by the energy used in moving particle A.

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